Given Numbers are 115, 121

We can find the LCM of 115, 121 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 115 and 121

Multiples of 115 =115,230,345,460,575,690,805,920,1035,1150,1265,1380,1495,1610,1725,1840,1955,

Multiples of 121 =121,242,363,484,605,726,847,968,1089,1210,1331,1452,1573,1694,1815,1936,2057,

Now, get the least common multiple of 115, 121 which is 13915

So, the LCM of 115, 121 is 13915.

One method for determining the LCM of 115 and 121 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 115's prime factorization:

Prime factors of 115 are 5,23.

115 = 5¹×23¹

And this is 121's prime factorization:

Prime factors of 121 are 11.

121 = 11²

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 5,23,11

5¹×11²×23¹ = 13915

This shows that the LCM of 115 and 121 is 13915.

The first step in determining the Least Common Multiple of 115 and 121 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 115 and 121:

Lets look at the first ten multiples of these numbers, 115 and 121:

115,230,345,460,575,690,805,920,1035,1955 are the first ten multiples of 115.

121,242,363,484,605,726,847,968,1089,2057 are the first ten multiples of 121.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 115 and 121, for example, are 1380, 1955, and 1936. 13915 is the least common multiple since it is the smallest.

115 and 121 have an LCM of 13915.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 115 and 121, than apply into the LCM equation.

GCF(115,121) = 1
LCM(115,121) = ( 115 × 121) / 1
LCM(115,121) = 13915 / 1
LCM(115,121) = 13915

1. What is the LCM of 115 and 121?

The LCM of 115 and 121 is 13915.

2. How to find the lowest common multiple of 115 and 121?

To find the lowest common multiple of 115 and 121, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13915.

3. What are the Factors of 115?

Answer: Factors of 115 are 1, 5, 23, 115. There are 4 integers that are factors of 115. The greatest factor of 115 is 115.

4. What are the Factors of 121?

Answer: Factors of 121 are 1, 11, 121. There are 3 integers that are factors of 121. The greatest factor of 121 is 121.

Answer:

Least Common Multiple of 115 and 121 = 13915

Step 1: Find the prime factorization of 115

115 = 5 x 23

Step 2: Find the prime factorization of 121

121 = 11 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13915 = 5 x 11 x 11 x 23

Step 4: Therefore, the least common multiple of 115 and 121 is 13915.